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Finding the Fourth Proportional to 126.89, 191.24 and 119.83

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Solution

The fourth proportional to 126.89, 191.24 and 119.83 is: 180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.89 : 191.24 = 119.83 : x
  2. Step 2: Convert to fraction form
    126.89/191.24 = 119.83/x
  3. Step 3: Cross multiply
    126.89x = 191.24 × 119.83
  4. Step 4: Simplify right side
    126.89x = 22,915.63
  5. Step 5: Solve for x
    x = 22,915.63/126.89
  6. Step 6: Final answer
    x = 180.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.